1. ## Mapping vector spaces

Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?

2. Originally Posted by T-Mac
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?

I do not understand the problem.

3. Originally Posted by T-Mac
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?

You are looking for a linear transformation L that takes
L(2, -3, -5) = (0, 4, 8)
L(0, 4, 8) = (2, 9, 2)

and looking for the vector v = (vx, vy, vz) such that
L(vx, vy, vz) = (-3, 9, -1)

Is this correct?

-Dan

4. topsquark, yes.

5. Originally Posted by T-Mac
Hi!

I have a problem with this math task:

Linear transformation maps basic vectors to vectors (2,−3,−5), (0, 4, 8) and (2, 9, 2).
In which vector (vx, vy, vz) does vector (-3, 9, -1) maps?